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Finding the Fourth Proportional to 176,850, 243,512.52 and 133,305.82

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Solution

The fourth proportional to 176,850, 243,512.52 and 133,305.82 is: 183,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,850 : 243,512.52 = 133,305.82 : x
  2. Step 2: Convert to fraction form
    176,850/243,512.52 = 133,305.82/x
  3. Step 3: Cross multiply
    176,850x = 243,512.52 × 133,305.82
  4. Step 4: Simplify right side
    176,850x = 32,461,636,158.87
  5. Step 5: Solve for x
    x = 32,461,636,158.87/176,850
  6. Step 6: Final answer
    x = 183,554.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.